What is expand (5s^2-2s-19)/((s-1)^2(s+3)) ?

The solution to expand (5s^2-2s-19)/((s-1)^2(s+3)) is (5s^2-2s-19)/(s^3+s^2-5s+3)

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expand (5s^2-2s-19)/((s-1)^2(s+3))

expand

\frac{5 s ^{2} - 2 s - 19}{( s - 1 ) ^{2} ( s + 3 )}

\frac{5 s ^{2} - 2 s - 19}{s ^{3} + s ^{2} - 5 s + 3}

Solution steps

\frac{5 s ^{2} - 2 s - 19}{( s - 1 ) ^{2} ( s + 3 )}

(s - 1)^{2} = s^{2} - 2 s + 1

= \frac{5 s ^{2} - 2 s - 19}{( s ^{2} - 2 s + 1 ) ( s + 3 )}

Expand

(s^{2} - 2 s + 1) (s + 3) : s^{3} + s^{2} - 5 s + 3

= \frac{5 s ^{2} - 2 s - 19}{s ^{3} + s ^{2} - 5 s + 3}

\frac{\partial}{\partial u} ((x) (x - y))

\frac{14 x ^{3} - 40 x ^{2} - 23 x - 7}{( x - 3 ) ^{2} ( 2 x ^{2} + 3 x + 2 )}

(x - 8)^{2}

\frac{26 x ^{2} + 208 x}{( x ^{2} + 1 ) ( x + 5 )}

(- 2 a sin (t) + 2 a sin (2 t))^{2}

What is expand (5s^2-2s-19)/((s-1)^2(s+3)) ?
The solution to expand (5s^2-2s-19)/((s-1)^2(s+3)) is (5s^2-2s-19)/(s^3+s^2-5s+3)